Quantum stochastic calculus and representations of Lie superalgebras
著者
書誌事項
Quantum stochastic calculus and representations of Lie superalgebras
（Lecture notes in mathematics, 1692）
Springer, c1998
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This book describes the representations of Lie superalgebras that are yielded by a graded version of Hudson-Parthasarathy quantum stochastic calculus. Quantum stochastic calculus and grading theory are given concise introductions, extending readership to mathematicians and physicists with a basic knowledge of algebra and infinite-dimensional Hilbert spaces. The develpment of an explicit formula for the chaotic expansion of a polynomial of quantum stochastic integrals is particularly interesting. The book aims to provide a self-contained exposition of what is known about Z_2-graded quantum stochastic calculus and to provide a framework for future research into this new and fertile area.
目次
Quantum stochastic calculus.- Z2-graded structures.- Representations of lie superalgebras in Z2-graded quantum stochastic calculus.- The ungraded higher order Ito product formula.- The Ito superalgebra.- Some results in Z2-graded quantum stochastic calculus.- Chaotic expansions.- Extensions.
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